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Umbilicity of surfaces with orthogonal asymptotic lines in R4

✍ Scribed by Marı́a del Carmen Romero-Fuster; Federico Sánchez-Bringas

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
103 KB
Volume
16
Category
Article
ISSN
0926-2245

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✦ Synopsis

We study some properties of surfaces in 4-space all whose points are umbilic with respect to some normal field. In particular, we show that this condition is equivalent to the orthogonality of the (globally defined) fields of asymptotic directions. We also analyze necessary and sufficient conditions for the hypersphericity of surfaces in 4-space.

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